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3 years ago

And check your answers. At the end of the activity, write a brief evaluation of your work.

Mathematics

1 answer:

Rashid [163]3 years ago

8 0

Answer:

16.5 gallons per minute.

Step-by-step explanation:

The given table is:

$\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}$

We are given this linear function in the form of table.

Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.

We can use slope intercept form to find the equation.

$y=mx+c$

Slope of a function:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50$

$m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5$

This slope is the constant of proportionality.

i.e. the rate at which the number of gallons are changing per minute.

So, the answer is 16.5 gallons per minute.

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What is 1 2/3 multiple 2/3

Flauer [41]

Answer:

$1\frac{1}{9}$

Step-by-step explanation:

Given the following question:

$1\frac{2}{3} \times\frac{2}{3}$

In order to multiply the two, we have to convert the mixed number into a improper fraction and then multiply the numerator by the numerator, the denominator by the denominator.

$1\frac{2}{3} =3\times1=3+2=\frac{5}{3}$
$\frac{5}{3} \times\frac{2}{3}$
$5\times2=10$
$3\times3=9$
$=\frac{10}{9}$

Convert the improper fraction into a mixed number:

$\frac{10}{9}$
$\frac{10}{9} =10\div9=1\frac{1}{9}$
$=1\frac{1}{9}$

Your answer is "1 1/9."

Hope this helps.

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2 years ago

80% of 15 plus fraction

lana [24]

Answer:

Idk what u mean by fraction but 80% of 15 is 12

Step-by-step explanation:

7 0

3 years ago

Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his sales each month. Raymond earns $1

joja [24]

Answer:

The Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

Step-by-step explanation:

Given data

Let no. of sales = x

Jonathon earning = $ 1500 + $\frac{10}{100} x$

Raymond earning = $ 1200 + $\frac{15}{100} x$

Given that the earnings of Jonathon & Raymond are same.

1500 + $\frac{10}{100} x$ = 1200 + $\frac{15}{100} x$

300 = $\frac{5}{100} x$

x = 6000 sales

Therefore the Jonathon and Raymond need to sell 6000 sales to earn the same amount each month.

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3 years ago

The graph below shows the cost of pens based on the number of pens in a pack. What would be the cost of one pen? A graph is show

Pepsi [2]

The answer is 1.75 dollars for one

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3 years ago

Read 2 more answers

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

The maximum power generated by the circuit is 300 watts.

7 0

3 years ago